135177120 has 384 divisors, whose sum is σ = 533433600. Its totient is φ = 31739904.

The previous prime is 135177109. The next prime is 135177151. The reversal of 135177120 is 21771531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1628599 + ... + 1628681.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 2^135177120 is an apocalyptic number.

135177120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135177120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266716800).

135177120 is an abundant number, since it is smaller than the sum of its proper divisors (398256480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135177120 is a wasteful number, since it uses less digits than its factorization.

135177120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 135177120 is about 11626.5695714600. The cubic root of 135177120 is about 513.2170348034.

The spelling of 135177120 in words is "one hundred thirty-five million, one hundred seventy-seven thousand, one hundred twenty".